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Simplifying 7(3x + -5) + -2(4x + -19) = 12x + 15 Reorder the terms: 7(-5 + 3x) + -2(4x + -19) = 12x + 15 (-5 * 7 + 3x * 7) + -2(4x + -19) = 12x + 15 (-35 + 21x) + -2(4x + -19) = 12x + 15 Reorder the terms: -35 + 21x + -2(-19 + 4x) = 12x + 15 -35 + 21x + (-19 * -2 + 4x * -2) = 12x + 15 -35 + 21x + (38 + -8x) = 12x + 15 Reorder the terms: -35 + 38 + 21x + -8x = 12x + 15 Combine like terms: -35 + 38 = 3 3 + 21x + -8x = 12x + 15 Combine like terms: 21x + -8x = 13x 3 + 13x = 12x + 15 Reorder the terms: 3 + 13x = 15 + 12x Solving 3 + 13x = 15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 3 + 13x + -12x = 15 + 12x + -12x Combine like terms: 13x + -12x = 1x 3 + 1x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + 1x = 15 + 0 3 + 1x = 15 Add '-3' to each side of the equation. 3 + -3 + 1x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 15 + -3 1x = 15 + -3 Combine like terms: 15 + -3 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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